Question

4 пример (фото),пожалуйста

Answer 1

$|a-b|=|b-a|\; \; \; \Rightarrow \\\\\sqrt{|40\sqrt2-57|}-\sqrt{40\sqrt2+57}=\sqrt{|57-40\sqrt2|}-\sqrt{40\sqrt2+57}=\\\\=\sqrt{(\sqrt{32}-5)^2}-\sqrt{(\sqrt{32}+5)^2}=\sqrt{32}-5-(\sqrt{32}+5)=\\\\=-5-5=-10$

$57-40\sqrt2=57-2*\sqrt{400*2}=57-2*\sqrt{800}=57-2*\sqrt{32*25}=\\\\=(\sqrt{32}-\sqrt{25})^2=(\sqrt{32}-5)^2$